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Simplifying 5a + 1 + 4z + -3z = 7 Reorder the terms: 1 + 5a + 4z + -3z = 7 Combine like terms: 4z + -3z = 1z 1 + 5a + 1z = 7 Solving 1 + 5a + 1z = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5a + -1 + 1z = 7 + -1 Reorder the terms: 1 + -1 + 5a + 1z = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 5a + 1z = 7 + -1 5a + 1z = 7 + -1 Combine like terms: 7 + -1 = 6 5a + 1z = 6 Add '-1z' to each side of the equation. 5a + 1z + -1z = 6 + -1z Combine like terms: 1z + -1z = 0 5a + 0 = 6 + -1z 5a = 6 + -1z Divide each side by '5'. a = 1.2 + -0.2z Simplifying a = 1.2 + -0.2z
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